A Projected Subgradient Method for Nondifferentiable Quasiconvex Multiobjective Optimization Problems-Reference-Cited by-同舟云学术

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A Projected Subgradient Method for Nondifferentiable Quasiconvex Multiobjective Optimization Problems

Published:2021-05-31 Issue:1 Volume:190 Page:82-107
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Zhao Xiaopeng,Köbis Markus A.,Yao Yonghong,Yao Jen-Chih

Funder

National Natural Science Foundation of China

Natural Science Foundation of Tianjin

The Science&Technology Development Fund of Tianjin Education Commission for Higher Education

University Innovation Team of Tianjin

Grant MOST

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

https://link.springer.com/content/pdf/10.1007/s10957-021-01872-5.pdf

Reference40 articles.

1. Bauschke, H.H., Borwein, J.M.: On projection algorithms for solving convex feasibility problems. SIAM Rev. 38(3), 367–426 (1996). https://doi.org/10.1137/s0036144593251710

2. Bello Cruz, J.Y.: A subgradient method for vector optimization problems. SIAM J. Optim. 23(4), 2169–2182 (2013). https://doi.org/10.1137/120866415

3. Bello Cruz, J.Y., Lucambio Pérez, L.R., Melo, J.G.: Convergence of the projected gradient method for quasiconvex multiobjective optimization. Nonlinear Anal. Theory Methods Appl. 74(16), 5268–5273 (2011). https://doi.org/10.1016/j.na.2011.04.067

4. Bento, G.C., Cruz Neto, J.X., Oliveira, P.R., Soubeyran, A.: The self regulation problem as an inexact steepest descent method for multicriteria optimization. Eur. J. Oper. Res. 235(3), 494–502 (2014). https://doi.org/10.1016/j.ejor.2014.01.002

5. Bento, G.C., Cruz Neto, J.X., Santos, P.S.M., Souza, S.S.: A weighting subgradient algorithm for multiobjective optimization. Optim. Lett. 12(2), 399–410 (2018). https://doi.org/10.1007/s11590-017-1133-x

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